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307 lines
12 KiB
307 lines
12 KiB
// Copyright (c) 2013 Pieter Wuille
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// Distributed under the MIT/X11 software license, see the accompanying
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// file COPYING or http://www.opensource.org/licenses/mit-license.php.
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#ifndef _SECP256K1_ECDSA_IMPL_H_
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#define _SECP256K1_ECDSA_IMPL_H_
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#include "../num.h"
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#include "../field.h"
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#include "../group.h"
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#include "../ecmult.h"
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#include "../ecdsa.h"
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void static secp256k1_ecdsa_sig_init(secp256k1_ecdsa_sig_t *r) {
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secp256k1_num_init(&r->r);
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secp256k1_num_init(&r->s);
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}
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void static secp256k1_ecdsa_sig_free(secp256k1_ecdsa_sig_t *r) {
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secp256k1_num_free(&r->r);
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secp256k1_num_free(&r->s);
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}
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int static secp256k1_ecdsa_pubkey_parse(secp256k1_ge_t *elem, const unsigned char *pub, int size) {
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if (size == 33 && (pub[0] == 0x02 || pub[0] == 0x03)) {
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secp256k1_fe_t x;
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secp256k1_fe_set_b32(&x, pub+1);
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secp256k1_ge_set_xo(elem, &x, pub[0] == 0x03);
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} else if (size == 65 && (pub[0] == 0x04 || pub[0] == 0x06 || pub[0] == 0x07)) {
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secp256k1_fe_t x, y;
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secp256k1_fe_set_b32(&x, pub+1);
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secp256k1_fe_set_b32(&y, pub+33);
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secp256k1_ge_set_xy(elem, &x, &y);
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if ((pub[0] == 0x06 || pub[0] == 0x07) && secp256k1_fe_is_odd(&y) != (pub[0] == 0x07))
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return 0;
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} else {
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return 0;
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}
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return secp256k1_ge_is_valid(elem);
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}
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int static secp256k1_ecdsa_sig_parse(secp256k1_ecdsa_sig_t *r, const unsigned char *sig, int size) {
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if (sig[0] != 0x30) return 0;
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int lenr = sig[3];
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if (5+lenr >= size) return 0;
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int lens = sig[lenr+5];
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if (sig[1] != lenr+lens+4) return 0;
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if (lenr+lens+6 > size) return 0;
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if (sig[2] != 0x02) return 0;
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if (lenr == 0) return 0;
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if (sig[lenr+4] != 0x02) return 0;
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if (lens == 0) return 0;
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secp256k1_num_set_bin(&r->r, sig+4, lenr);
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secp256k1_num_set_bin(&r->s, sig+6+lenr, lens);
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return 1;
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}
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int static secp256k1_ecdsa_sig_serialize(unsigned char *sig, int *size, const secp256k1_ecdsa_sig_t *a) {
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int lenR = (secp256k1_num_bits(&a->r) + 7)/8;
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if (lenR == 0 || secp256k1_num_get_bit(&a->r, lenR*8-1))
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lenR++;
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int lenS = (secp256k1_num_bits(&a->s) + 7)/8;
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if (lenS == 0 || secp256k1_num_get_bit(&a->s, lenS*8-1))
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lenS++;
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if (*size < 6+lenS+lenR)
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return 0;
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*size = 6 + lenS + lenR;
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sig[0] = 0x30;
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sig[1] = 4 + lenS + lenR;
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sig[2] = 0x02;
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sig[3] = lenR;
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secp256k1_num_get_bin(sig+4, lenR, &a->r);
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sig[4+lenR] = 0x02;
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sig[5+lenR] = lenS;
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secp256k1_num_get_bin(sig+lenR+6, lenS, &a->s);
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return 1;
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}
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int static secp256k1_ecdsa_sig_recompute(secp256k1_num_t *r2, const secp256k1_ecdsa_sig_t *sig, const secp256k1_ge_t *pubkey, const secp256k1_num_t *message) {
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const secp256k1_ge_consts_t *c = secp256k1_ge_consts;
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if (secp256k1_num_is_neg(&sig->r) || secp256k1_num_is_neg(&sig->s))
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return 0;
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if (secp256k1_num_is_zero(&sig->r) || secp256k1_num_is_zero(&sig->s))
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return 0;
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if (secp256k1_num_cmp(&sig->r, &c->order) >= 0 || secp256k1_num_cmp(&sig->s, &c->order) >= 0)
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return 0;
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int ret = 0;
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secp256k1_num_t sn, u1, u2;
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secp256k1_num_init(&sn);
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secp256k1_num_init(&u1);
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secp256k1_num_init(&u2);
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secp256k1_num_mod_inverse(&sn, &sig->s, &c->order);
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secp256k1_num_mod_mul(&u1, &sn, message, &c->order);
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secp256k1_num_mod_mul(&u2, &sn, &sig->r, &c->order);
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secp256k1_gej_t pubkeyj; secp256k1_gej_set_ge(&pubkeyj, pubkey);
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secp256k1_gej_t pr; secp256k1_ecmult(&pr, &pubkeyj, &u2, &u1);
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if (!secp256k1_gej_is_infinity(&pr)) {
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secp256k1_fe_t xr; secp256k1_gej_get_x(&xr, &pr);
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secp256k1_fe_normalize(&xr);
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unsigned char xrb[32]; secp256k1_fe_get_b32(xrb, &xr);
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secp256k1_num_set_bin(r2, xrb, 32);
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secp256k1_num_mod(r2, &c->order);
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ret = 1;
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}
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secp256k1_num_free(&sn);
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secp256k1_num_free(&u1);
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secp256k1_num_free(&u2);
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return ret;
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}
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int static secp256k1_ecdsa_sig_recover(const secp256k1_ecdsa_sig_t *sig, secp256k1_ge_t *pubkey, const secp256k1_num_t *message, int recid) {
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const secp256k1_ge_consts_t *c = secp256k1_ge_consts;
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if (secp256k1_num_is_neg(&sig->r) || secp256k1_num_is_neg(&sig->s))
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return 0;
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if (secp256k1_num_is_zero(&sig->r) || secp256k1_num_is_zero(&sig->s))
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return 0;
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if (secp256k1_num_cmp(&sig->r, &c->order) >= 0 || secp256k1_num_cmp(&sig->s, &c->order) >= 0)
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return 0;
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secp256k1_num_t rx;
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secp256k1_num_init(&rx);
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secp256k1_num_copy(&rx, &sig->r);
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if (recid & 2) {
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secp256k1_num_add(&rx, &rx, &c->order);
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if (secp256k1_num_cmp(&rx, &secp256k1_fe_consts->p) >= 0)
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return 0;
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}
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unsigned char brx[32];
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secp256k1_num_get_bin(brx, 32, &rx);
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secp256k1_num_free(&rx);
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secp256k1_fe_t fx;
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secp256k1_fe_set_b32(&fx, brx);
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secp256k1_ge_t x;
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secp256k1_ge_set_xo(&x, &fx, recid & 1);
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if (!secp256k1_ge_is_valid(&x))
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return 0;
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secp256k1_gej_t xj;
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secp256k1_gej_set_ge(&xj, &x);
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secp256k1_num_t rn, u1, u2;
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secp256k1_num_init(&rn);
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secp256k1_num_init(&u1);
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secp256k1_num_init(&u2);
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secp256k1_num_mod_inverse(&rn, &sig->r, &c->order);
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secp256k1_num_mod_mul(&u1, &rn, message, &c->order);
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secp256k1_num_sub(&u1, &c->order, &u1);
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secp256k1_num_mod_mul(&u2, &rn, &sig->s, &c->order);
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secp256k1_gej_t qj;
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secp256k1_ecmult(&qj, &xj, &u2, &u1);
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secp256k1_ge_set_gej(pubkey, &qj);
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secp256k1_num_free(&rn);
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secp256k1_num_free(&u1);
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secp256k1_num_free(&u2);
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return 1;
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}
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int static secp256k1_ecdsa_sig_verify(const secp256k1_ecdsa_sig_t *sig, const secp256k1_ge_t *pubkey, const secp256k1_num_t *message) {
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secp256k1_num_t r2;
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secp256k1_num_init(&r2);
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int ret = 0;
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ret = secp256k1_ecdsa_sig_recompute(&r2, sig, pubkey, message) && secp256k1_num_cmp(&sig->r, &r2) == 0;
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secp256k1_num_free(&r2);
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return ret;
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}
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int static secp256k1_ecdsa_sig_sign(secp256k1_ecdsa_sig_t *sig, const secp256k1_num_t *seckey, const secp256k1_num_t *message, const secp256k1_num_t *nonce, int *recid) {
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const secp256k1_ge_consts_t *c = secp256k1_ge_consts;
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secp256k1_gej_t rp;
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secp256k1_ecmult_gen(&rp, nonce);
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secp256k1_ge_t r;
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secp256k1_ge_set_gej(&r, &rp);
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unsigned char b[32];
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secp256k1_fe_normalize(&r.x);
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secp256k1_fe_normalize(&r.y);
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secp256k1_fe_get_b32(b, &r.x);
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secp256k1_num_set_bin(&sig->r, b, 32);
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if (recid)
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*recid = (secp256k1_num_cmp(&sig->r, &c->order) >= 0 ? 2 : 0) | (secp256k1_fe_is_odd(&r.y) ? 1 : 0);
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secp256k1_num_mod(&sig->r, &c->order);
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secp256k1_num_t n;
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secp256k1_num_init(&n);
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secp256k1_num_mod_mul(&n, &sig->r, seckey, &c->order);
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secp256k1_num_add(&n, &n, message);
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secp256k1_num_mod(&n, &c->order);
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secp256k1_num_mod_inverse(&sig->s, nonce, &c->order);
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secp256k1_num_mod_mul(&sig->s, &sig->s, &n, &c->order);
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secp256k1_num_free(&n);
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if (secp256k1_num_is_zero(&sig->s))
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return 0;
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if (secp256k1_num_cmp(&sig->s, &c->half_order) > 0) {
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secp256k1_num_sub(&sig->s, &c->order, &sig->s);
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if (recid)
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*recid ^= 1;
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}
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return 1;
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}
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void static secp256k1_ecdsa_sig_set_rs(secp256k1_ecdsa_sig_t *sig, const secp256k1_num_t *r, const secp256k1_num_t *s) {
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secp256k1_num_copy(&sig->r, r);
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secp256k1_num_copy(&sig->s, s);
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}
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void static secp256k1_ecdsa_pubkey_serialize(secp256k1_ge_t *elem, unsigned char *pub, int *size, int compressed) {
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secp256k1_fe_normalize(&elem->x);
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secp256k1_fe_normalize(&elem->y);
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secp256k1_fe_get_b32(&pub[1], &elem->x);
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if (compressed) {
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*size = 33;
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pub[0] = 0x02 | (secp256k1_fe_is_odd(&elem->y) ? 0x01 : 0x00);
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} else {
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*size = 65;
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pub[0] = 0x04;
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secp256k1_fe_get_b32(&pub[33], &elem->y);
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}
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}
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int static secp256k1_ecdsa_privkey_parse(secp256k1_num_t *key, const unsigned char *privkey, int privkeylen) {
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const unsigned char *end = privkey + privkeylen;
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// sequence header
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if (end < privkey+1 || *privkey != 0x30)
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return 0;
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privkey++;
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// sequence length constructor
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int lenb = 0;
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if (end < privkey+1 || !(*privkey & 0x80))
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return 0;
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lenb = *privkey & ~0x80; privkey++;
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if (lenb < 1 || lenb > 2)
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return 0;
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if (end < privkey+lenb)
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return 0;
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// sequence length
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int len = 0;
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len = privkey[lenb-1] | (lenb > 1 ? privkey[lenb-2] << 8 : 0);
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privkey += lenb;
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if (end < privkey+len)
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return 0;
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// sequence element 0: version number (=1)
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if (end < privkey+3 || privkey[0] != 0x02 || privkey[1] != 0x01 || privkey[2] != 0x01)
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return 0;
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privkey += 3;
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// sequence element 1: octet string, up to 32 bytes
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if (end < privkey+2 || privkey[0] != 0x04 || privkey[1] > 0x20 || end < privkey+2+privkey[1])
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return 0;
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secp256k1_num_set_bin(key, privkey+2, privkey[1]);
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return 1;
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}
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int static secp256k1_ecdsa_privkey_serialize(unsigned char *privkey, int *privkeylen, const secp256k1_num_t *key, int compressed) {
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secp256k1_gej_t rp;
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secp256k1_ecmult_gen(&rp, key);
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secp256k1_ge_t r;
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secp256k1_ge_set_gej(&r, &rp);
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if (compressed) {
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static const unsigned char begin[] = {
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0x30,0x81,0xD3,0x02,0x01,0x01,0x04,0x20
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};
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static const unsigned char middle[] = {
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0xA0,0x81,0x85,0x30,0x81,0x82,0x02,0x01,0x01,0x30,0x2C,0x06,0x07,0x2A,0x86,0x48,
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0xCE,0x3D,0x01,0x01,0x02,0x21,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
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0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
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0xFF,0xFF,0xFE,0xFF,0xFF,0xFC,0x2F,0x30,0x06,0x04,0x01,0x00,0x04,0x01,0x07,0x04,
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0x21,0x02,0x79,0xBE,0x66,0x7E,0xF9,0xDC,0xBB,0xAC,0x55,0xA0,0x62,0x95,0xCE,0x87,
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0x0B,0x07,0x02,0x9B,0xFC,0xDB,0x2D,0xCE,0x28,0xD9,0x59,0xF2,0x81,0x5B,0x16,0xF8,
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0x17,0x98,0x02,0x21,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
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0xFF,0xFF,0xFF,0xFF,0xFE,0xBA,0xAE,0xDC,0xE6,0xAF,0x48,0xA0,0x3B,0xBF,0xD2,0x5E,
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0x8C,0xD0,0x36,0x41,0x41,0x02,0x01,0x01,0xA1,0x24,0x03,0x22,0x00
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};
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unsigned char *ptr = privkey;
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memcpy(ptr, begin, sizeof(begin)); ptr += sizeof(begin);
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secp256k1_num_get_bin(ptr, 32, key); ptr += 32;
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memcpy(ptr, middle, sizeof(middle)); ptr += sizeof(middle);
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int pubkeylen = 0;
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secp256k1_ecdsa_pubkey_serialize(&r, ptr, &pubkeylen, 1); ptr += pubkeylen;
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*privkeylen = ptr - privkey;
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} else {
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static const unsigned char begin[] = {
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0x30,0x82,0x01,0x13,0x02,0x01,0x01,0x04,0x20
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};
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static const unsigned char middle[] = {
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0xA0,0x81,0xA5,0x30,0x81,0xA2,0x02,0x01,0x01,0x30,0x2C,0x06,0x07,0x2A,0x86,0x48,
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0xCE,0x3D,0x01,0x01,0x02,0x21,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
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0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
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0xFF,0xFF,0xFE,0xFF,0xFF,0xFC,0x2F,0x30,0x06,0x04,0x01,0x00,0x04,0x01,0x07,0x04,
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0x41,0x04,0x79,0xBE,0x66,0x7E,0xF9,0xDC,0xBB,0xAC,0x55,0xA0,0x62,0x95,0xCE,0x87,
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0x0B,0x07,0x02,0x9B,0xFC,0xDB,0x2D,0xCE,0x28,0xD9,0x59,0xF2,0x81,0x5B,0x16,0xF8,
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0x17,0x98,0x48,0x3A,0xDA,0x77,0x26,0xA3,0xC4,0x65,0x5D,0xA4,0xFB,0xFC,0x0E,0x11,
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0x08,0xA8,0xFD,0x17,0xB4,0x48,0xA6,0x85,0x54,0x19,0x9C,0x47,0xD0,0x8F,0xFB,0x10,
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0xD4,0xB8,0x02,0x21,0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
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0xFF,0xFF,0xFF,0xFF,0xFE,0xBA,0xAE,0xDC,0xE6,0xAF,0x48,0xA0,0x3B,0xBF,0xD2,0x5E,
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0x8C,0xD0,0x36,0x41,0x41,0x02,0x01,0x01,0xA1,0x44,0x03,0x42,0x00
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};
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unsigned char *ptr = privkey;
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memcpy(ptr, begin, sizeof(begin)); ptr += sizeof(begin);
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secp256k1_num_get_bin(ptr, 32, key); ptr += 32;
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memcpy(ptr, middle, sizeof(middle)); ptr += sizeof(middle);
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int pubkeylen = 0;
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secp256k1_ecdsa_pubkey_serialize(&r, ptr, &pubkeylen, 0); ptr += pubkeylen;
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*privkeylen = ptr - privkey;
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}
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return 1;
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}
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#endif
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